16. If x > 0 and 0 = sin-lx+cos Ix - tan-1x, then () sos (c) Osest (6) osos.it (d) I SOCI

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$$\begin{gathered} x\ge 0, \theta ={\sin }^{-1}x+{\cos }^{-1}x-{\tan }^{-1}x \\ \Rightarrow 0\le x\le 1 \\ \Rightarrow 0\le {\tan }^{-1}x\le \pi /4 \\ \Rightarrow \raisebox{1ex}{$\pi $}\!\left/ \!\raisebox{-1ex}{$2$}\right.-{\tan }^{-1}x\Rightarrow \frac{\pi }{2}-\raisebox{1ex}{$\pi $}\!\left/ \!\raisebox{-1ex}{$4\le \theta \le {\displaystyle \raisebox{1ex}{$\pi $}\!\left/ \!\raisebox{-1ex}{$2$}\right.}$}\right. \\ \mathbf{\Rightarrow }\frac{\mathbf{\pi }}{\mathbf{4}}\mathbf{\le }\mathit{\theta }\mathbf{\le }\raisebox{1ex}{$\mathbf{\pi }$}\!\left/ \!\raisebox{-1ex}{$\mathbf{2}$}\right. \end{gathered}$$

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